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25997928 = 23311197173
BaseRepresentation
bin110001100101…
…1001001101000
31210220211110020
41203023021220
523123413203
62325120440
7433656465
oct143131150
953824406
1025997928
11137476a0
128859120
1355034b8
14364a66c
152438153
hex18cb268

25997928 has 128 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 7257600.

The previous prime is 25997927. The next prime is 25997941. The reversal of 25997928 is 82979952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25997927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356100 + ... + 356172.

It is an arithmetic number, because the mean of its divisors is an integer number (599400).

Almost surely, 225997928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25997928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361600).

25997928 is an abundant number, since it is smaller than the sum of its proper divisors (50725272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25997928 is a wasteful number, since it uses less digits than its factorization.

25997928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 25997928 is about 5098.8163332287. The cubic root of 25997928 is about 296.2417370267.

The spelling of 25997928 in words is "twenty-five million, nine hundred ninety-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 71 73 76 88 114 132 142 146 152 209 213 219 228 264 284 292 418 426 438 456 568 584 627 781 803 836 852 876 1254 1349 1387 1562 1606 1672 1704 1752 2343 2409 2508 2698 2774 3124 3212 4047 4161 4686 4818 5016 5183 5396 5548 6248 6424 8094 8322 9372 9636 10366 10792 11096 14839 15257 15549 16188 16644 18744 19272 20732 29678 30514 31098 32376 33288 41464 44517 45771 57013 59356 61028 62196 89034 91542 98477 114026 118712 122056 124392 171039 178068 183084 196954 228052 295431 342078 356136 366168 393908 456104 590862 684156 787816 1083247 1181724 1368312 2166494 2363448 3249741 4332988 6499482 8665976 12998964 25997928